1. Show that the inverse of a function is unique. If a function has an inverse, then it only has one. 2. Suppose f : A → B and g : B → C have inverses. Show that gof is invertible, and that its inverse is f-l og¬1.

Q: 6) Each person in a team is known to have red blood cells that belong to one and only one of four…

A:

Q: 6. For the given functions:   i)  Find the inverse of f, ii)  Graph both functions on the same…

A: According to the given information: For part (i) it is required to find the inverse of functions.

Q: what about part F for this question?

A: Note that out of (215+102+30+1)=348 cases of rear end collisions, 215 were with no injuriesThus,P(No…

Q: Give a function that requires three applications of the chain rule to differentiate. Then…

A: Using chain rule

Q: (a) Suppose f:R³ → R² is a function for which and Could f be linear? Why or why not? (b) . that…

A: Part (a):   A function f: R3 to R2 is linear:   By the definition of linear function maps zero…

Q: Given the ordered pair (3, 0). Perform the transformations described in the function below: 글f(z +6)…

A: Given order pair (3,0) That means f(3) =0    And the transformation of function 18f(x+6)+2

Q: exponential function whose graph passes through write the e quation of an the given points (0,5) and…

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Q: Draw a transformed function. Include in the image each step.

A: Since u didn't mention any function, let us take some examples ....and work on the transformed…

Q: 2. The graph of f computes the number of gallons of water in a tank after t minutes. Estimate each…

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Q: Apply the definition of the difference quotient to the function Blue and help Steven evaluate it

A: We have given  Blue(s) = 5s2+1 Replace s by s+h Blue(s+h) =5s+h2+1 Blues+h=5s2+2sh+h2+1 Blue(s+h)…

Q: Let A be the set of students in your discrete math class, and B is the set of students at Arizona…

A:

Q: 5. Consider the statement: "If a given relation, y = f(x), is a function, then its inverse, y…

A: A function is a relation between a set of inputs and a set of permissible outputs with the property…

Q: Identify a , b and c of the following function : y-1=2x -3x² a= 2 ,b=-3 ,c=-1 a= 2 ,b=-3 , c=1 a= -3…

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Q: 5. Consider the statement "If a given relation, y = f(x), is a function, then its inverse y =…

A: Given statement,if a given relation, y = f(x), is a function, then its inverse y = f-1(x), is never…

Q: In each number: i. determine the domain and range ii. determine if the equation is a function or a…

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Q: . F(2) — /(-2) b. F(-1)/(-2) с. —2/(-

A:

Q: 2. Sketch the graph of following functions -1 a) y = x(x-5) b) y -3 (x+3)² +++++

A: The given functions, a) y=-1xx-5 b) y=-3x+32. We have to sketch the graph of the functions.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.